A wire is first bent into the shape of a square. Each side of the square is 7 in long. Then the wire is unbent and reshaped into a rectangle. If the length of the rectangle is 11 in , what is its width?

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem

What is the slope of the line that contains the points (-5, 6) and (14. - 7)?